Publisher's Synopsis
This book examines the connections between solutions of differential equations and the iterations of the differential operator which occur in an equation. Topics covered include the action of linear and nonlinear differential operators, the related theories of functions and operators, and the connections between the theory of functions and partial differential equations. The author focuses on new methods of constructing solutions for partial differential equations and looks at research into the smoothness of these solutions. Formulae, theorems and lemmas are numbered independently for quick reference, and the detailed listing of the subjects covered in each chapter enables the reader to find a particular area of interest without difficulty. Specialists in partial differential equations and in the theory of functions and functional analysis will find this study useful.
